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Finding the Fourth Proportional to 540,641.04, 746,140.32 and 311,206.92

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Solution

The fourth proportional to 540,641.04, 746,140.32 and 311,206.92 is: 429,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,641.04 : 746,140.32 = 311,206.92 : x
  2. Step 2: Convert to fraction form
    540,641.04/746,140.32 = 311,206.92/x
  3. Step 3: Cross multiply
    540,641.04x = 746,140.32 × 311,206.92
  4. Step 4: Simplify right side
    540,641.04x = 232,204,030,875.01
  5. Step 5: Solve for x
    x = 232,204,030,875.01/540,641.04
  6. Step 6: Final answer
    x = 429,497.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.